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Toward logic tailored for computational complexity

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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Monadic generalized spectra
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Spektralproblem and completeness of logical decision problems
inferredcites →https://doi.org/10.1007/bf01071084openalex-snapshot
Range and degree of realizability of formulas in the restricted predicate calculus
inferredcites →https://doi.org/10.1007/bf02297651openalex-snapshot
Existential interpretation. II
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The complexity of explicit definitions
inferredcites →https://doi.org/10.1016/0020-0190(76)90097-1openalex-snapshot
Relative complexity of checking and evaluating
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Computable queries for relational data bases
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Structure and complexity of relational queries
inferredcites →https://doi.org/10.1016/0304-3975(76)90061-xopenalex-snapshot
The polynomial-time hierarchy
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Introduction to automata theory, languages and computation
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A logic for constant-depth circuits
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NP and Craig's Interpolation Theorem
inferredcites →https://doi.org/10.1017/cbo9781139171496.014openalex-snapshot
Complexity of computation
inferredcites →https://doi.org/10.1017/s0022481200051513openalex-snapshot
The decision problem for standard classes
inferredcites →https://doi.org/10.1090/s0273-0979-1984-15207-8openalex-snapshot
The Gödel class with identity is unsolvable
inferredcites →https://doi.org/10.1090/trans2/023/01openalex-snapshot
Impossibility of an algorithm for the decision problem in finite classes
inferredcites →https://doi.org/10.1109/sfcs.1983.5openalex-snapshot
Algebras of feasible functions
inferredcites →https://doi.org/10.1111/j.1755-2567.1969.tb00356.xopenalex-snapshot
On Extensions of Elementary Logic
inferredcites →https://doi.org/10.1145/322234.322243openalex-snapshot
Alternation
inferredcites →https://doi.org/10.1145/567752.567763openalex-snapshot
Universality of data retrieval languages
inferredcites →https://doi.org/10.1145/800061.808765openalex-snapshot
Languages which capture complexity classes
inferredcites →https://doi.org/10.1145/800070.802186openalex-snapshot
The complexity of relational query languages (Extended Abstract)
inferredcites →https://doi.org/10.1145/800070.802187openalex-snapshot
Relational queries computable in polynomial time (Extended Abstract)
inferredcites →https://doi.org/10.1147/sj.164.0324openalex-snapshot
Query-by-Example: A data base language
inferredcites →https://doi.org/10.2140/pjm.1955.5.285openalex-snapshot
A lattice-theoretical fixpoint theorem and its applications
inferredcites →https://doi.org/10.2307/2272354openalex-snapshot
Turing machines and the spectra of first-order formulas
inferredcites →https://doi.org/10.2307/2963593openalex-snapshot
Linear reasoning. A new form of the Herbrand-Gentzen theorem
inferredcites →https://doi.org/10.2307/2963594openalex-snapshot
Three uses of the Herbrand-Gentzen theorem in relating model theory and proof theory
inferredcites →https://doi.org/10.2307/2964569openalex-snapshot
A counterexample to a conjecture of Scott and Suppes
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Complexity of Craig’s Interpolation
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The first order properties of products of algebraic systems
inferredcites →https://doi.org/10.4064/fm-49-2-129-141openalex-snapshot
An application of games to the completeness problem for formalized theories

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Logic in Finite Structures: Definability, Complexity, and Randomness
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Some Remarks on Finite Löwenheim‐Skolem Theorems
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Capturing Relativized Complexity Classes without Order
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On Preservation Theorems for Two‐Variable Logic
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Metafinite Model Theory
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Reflective Relational Machines
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Verifiable Properties of Database Transactions
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Counting Modulo Quantifiers on Finite Structures
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Aggregate Operators in Constraint Query Languages
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Coordination Infrastructures in the Engineering of Multiagent Systems
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A Survey on Agent-Oriented Oriented Software Engineering Research
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Preservation Under Extensions on Well-Behaved Finite Structures
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First-order spectra with one variable
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Quantifiers and Logical Reductions
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Generalized Quantifiers, an Introduction
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A Perspective on Lindström Quantifiers and Oracles
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Kolmogorov complexity, restricted nondeterminism and generalized spectra
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On logical descriptions of some concepts in structural complexity theory
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Finite-model theory—a personal perspective
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Comparing the expressibility of two languages formed using NP-complete graph operators
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Infinitary logic for computer science
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Computing on structures
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Languages for polynomial-time queries — An ongoing quest
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Implicit definability and infinitary logic in finite model theory
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Metafinite model theory
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Preservation theorems in finite model theory
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First order logic, fixed point logic and linear order
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Generalized implicit definitions on finite structures
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Syntax vs. semantics on finite structures
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On the power of aggregation in relational query languages
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Degrees of monotonicity of spatial transformations
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Finite Model Theory and Its Applications
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Embedded Finite Models and Constraint Databases
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Automated Model Building
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0–1 Laws for Fragments of Second-Order Logic: An Overview
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On Finite Model Theory (Extended Abstract)
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Effective Query Answering with Ontologies and DBoxes
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ASNP: A Tame Fragment of Existential Second-Order Logic
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On-the-Fly Model Checking with Neural MCTS
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A Framework for Comparing Query Languages in Their Ability to Express Boolean Queries
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Model Theory Makes Formulas Large
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Structural Properties of Sparse Graphs
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On p-Optimal Proof Systems and Logics for PTIME
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Yuri, Logic, and Computer Science
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A Logic for PTIME and a Parameterized Halting Problem
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Database Theory, Yuri, and Me
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Choiceless Computation and Symmetry
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Preservation under Substructures modulo Bounded Cores
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Datalog: A Perspective and the Potential
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Exact Query Reformulation with First-Order Ontologies and Databases
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The Complexity of Craig Interpolants
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Spectral Problems and Descriptive Complexity Theory
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Quantifiers and Logical Reductions
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Topological Queries
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Expressive Power: The Finite Case
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Ehrenfeucht-Fraïssé Games
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Bounded Variable Logics and Counting
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Types and Indiscernibles in Finite Models
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Descriptive Complexity of Deterministic Polylogarithmic Time
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Dependencies in Relational Databases
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Laws in Logic and Combinatorics
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Elementary Predicate Logic
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Complexity of Logical Decision Problems: An Introduction
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Implicit and Explicit Definability in Modal and Temporal Logics
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Elementary Predicate Logic
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On Bounded Set Theory
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Infinitary Logic in Finite Model Theory
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Quantifiers, Some Problems and Ideas
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On the expressive power of data dependencies
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On completeness for NP via projection translations
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Logical and schematic characterization of complexity classes
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The monadic second-order logic of graphs, II: Infinite graphs of bounded width
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Predicate superintuitionistic logics without interpolation
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Interpolation in superintuitionistic predicate logics with equality
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On a fragment of intuitionistic logic which is complete with respect to the kripke frames with finite domains
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Intermediate predicate logic without the beth property
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Monadic logical definability of NP-complete problems
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A bounded set theory with Anti-Foundation Axiom and inductive definability
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Completeness with respect to interpretations in deterministic and nondeterministic polynomial time
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Expressibility of first order logic with a nondeterministic inductive operator
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Bounded-arity hierarchies in fixed-point logics
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Untyped queries, untyped reflective machines and conditional quantifiers
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Monadic logical definability of nondeterministic linear time
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Epimorphisms in cylindric algebras and definability in finite variable logic
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On vectorizations of unary generalized quantifiers
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Bounded variable logics: two, three, and more
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The Theory of Finite Models without Equal Sign
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Relativised Homomorphism Preservation at the Finite Level
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Varieties of Finitism
inferred← citeshttps://doi.org/10.1016/0022-0000(90)90009-aopenalex-snapshot
First-order spectra with one variable
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Using the Hamiltonian path operator to capture NP
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Formal frameworks for approximate reasoning
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Program derivation by fixed point computation
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Henkin quantifiers and complete problems
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Fixed-point extensions of first-order logic
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Generalized quantifiers and pebble games on finite structures
inferred← citeshttps://doi.org/10.1016/0304-3975(92)90363-kopenalex-snapshot
Characterizing complexity classes by higher type primitive recursive definitions
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Bounded linear logic: a modular approach to polynomial-time computability
inferred← citeshttps://doi.org/10.1016/0304-3975(93)90218-iopenalex-snapshot
Finite-model theory - a personal perspective
inferred← citeshttps://doi.org/10.1016/0304-3975(93)90345-topenalex-snapshot
Hereditarily-finite sets, data bases and polynomial-time computability
inferred← citeshttps://doi.org/10.1016/0890-5401(88)90032-6openalex-snapshot
The computational complexity of asymptotic problems I: Partial orders
inferred← citeshttps://doi.org/10.1016/0890-5401(90)90006-4openalex-snapshot
Inductive definitions over finite structures
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0–1 Laws and decision problems for fragments of second-order logic
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The expressive power of stratified logic programs
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Infinitary logics and 0–1 laws
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Characterizing complexity classes by general recursive definitions in higher types
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Methods and Logics for Proving Programs
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Elements of Relational Database Theory
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A monotone preservation result for Boolean queries expressed as a containment of conjunctive queries
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Homomorphism preservation on quasi-wide classes
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Descriptive complexity of deterministic polylogarithmic time and space
inferred← citeshttps://doi.org/10.1016/j.tcs.2006.01.009openalex-snapshot
Computing queries with higher-order logics
inferred← citeshttps://doi.org/10.1016/s0019-9958(84)80062-5openalex-snapshot
A logic for constant-depth circuits
inferred← citeshttps://doi.org/10.1016/s0019-9958(85)80027-9openalex-snapshot
A zero-one law for logic with a fixed-point operator
inferred← citeshttps://doi.org/10.1016/s0022-0000(05)80071-6openalex-snapshot
Datalog vs first-order logic
inferred← citeshttps://doi.org/10.1016/s0168-0072(97)00008-0openalex-snapshot
How to define a linear order on finite models
inferred← citeshttps://doi.org/10.1016/s0747-7171(87)80066-4openalex-snapshot
Mechanical translation of set theoretic problem specifications into efficient RAM code-A case study
inferred← citeshttps://doi.org/10.1016/s1570-7954(00)80028-5openalex-snapshot
Algebra, categories and databases
inferred← citeshttps://doi.org/10.1017/9781108242066openalex-snapshot
Proof Complexity
inferred← citeshttps://doi.org/10.1017/9781108242066.001openalex-snapshot
Preface
inferred← citeshttps://doi.org/10.1017/9781108242066.002openalex-snapshot
Introduction
inferred← citeshttps://doi.org/10.1017/9781108242066.003openalex-snapshot
Concepts and Problems
inferred← citeshttps://doi.org/10.1017/9781108242066.004openalex-snapshot
Frege Systems
inferred← citeshttps://doi.org/10.1017/9781108242066.005openalex-snapshot
Sequent Calculus
inferred← citeshttps://doi.org/10.1017/9781108242066.006openalex-snapshot
Quantified Propositional Calculus
inferred← citeshttps://doi.org/10.1017/9781108242066.007openalex-snapshot
Resolution
inferred← citeshttps://doi.org/10.1017/9781108242066.008openalex-snapshot
Algebraic and Geometric Proof Systems
inferred← citeshttps://doi.org/10.1017/9781108242066.009openalex-snapshot
Further Proof Systems
inferred← citeshttps://doi.org/10.1017/9781108242066.010openalex-snapshot
Basic Example of the Correspondence between Theories and Proof Systems
inferred← citeshttps://doi.org/10.1017/9781108242066.011openalex-snapshot
The Two Worlds of Bounded Arithmetic
inferred← citeshttps://doi.org/10.1017/9781108242066.012openalex-snapshot
Up to EF via the 〈. . .〉 Translation
inferred← citeshttps://doi.org/10.1017/9781108242066.013openalex-snapshot
Examples of Upper Bounds and p-Simulations
inferred← citeshttps://doi.org/10.1017/9781108242066.014openalex-snapshot
Beyond EF via the || . . . || Translation
inferred← citeshttps://doi.org/10.1017/9781108242066.015openalex-snapshot
R and R-Like Proof Systems
inferred← citeshttps://doi.org/10.1017/9781108242066.016openalex-snapshot
LKd+1/2 and Combinatorial Restrictions
inferred← citeshttps://doi.org/10.1017/9781108242066.017openalex-snapshot
Fd and Logical Restrictions
inferred← citeshttps://doi.org/10.1017/9781108242066.018openalex-snapshot
Algebraic and Geometric Proof Systems
inferred← citeshttps://doi.org/10.1017/9781108242066.019openalex-snapshot
Feasible Interpolation: A Framework
inferred← citeshttps://doi.org/10.1017/9781108242066.020openalex-snapshot
Feasible Interpolation: Applications
inferred← citeshttps://doi.org/10.1017/9781108242066.021openalex-snapshot
Hard Tautologies
inferred← citeshttps://doi.org/10.1017/9781108242066.022openalex-snapshot
Model Theory and Lower Bounds
inferred← citeshttps://doi.org/10.1017/9781108242066.023openalex-snapshot
Optimality
inferred← citeshttps://doi.org/10.1017/9781108242066.024openalex-snapshot
The Nature of Proof Complexity
inferred← citeshttps://doi.org/10.1017/9781108242066.025openalex-snapshot
Bibliography
inferred← citeshttps://doi.org/10.1017/9781108242066.026openalex-snapshot
Index
inferred← citeshttps://doi.org/10.1017/9781316716830.007openalex-snapshot
Types and Indescernibles in Finite Models
inferred← citeshttps://doi.org/10.1017/jsl.2023.99openalex-snapshot
FORBIDDEN INDUCED SUBGRAPHS AND THE ŁOŚ–TARSKI THEOREM
inferred← citeshttps://doi.org/10.1017/s0956796800003889openalex-snapshot
The expressive power of higher-order types or, life without CONS
inferred← citeshttps://doi.org/10.1017/s0960129500070079openalex-snapshot
Linear time computable problems and first-order descriptions
inferred← citeshttps://doi.org/10.1023/a:1008275906015openalex-snapshot
Modal Logic over Finite Structures
inferred← citeshttps://doi.org/10.1023/a:1018955722107openalex-snapshot
On non-determinism in machines and languages
inferred← citeshttps://doi.org/10.1023/a:1026542526897openalex-snapshot
The Concept of Truth in a Finite Universe
inferred← citeshttps://doi.org/10.1080/01445340.2018.1439257openalex-snapshot
The Context of Inference
inferred← citeshttps://doi.org/10.1090/dimacs/031/01openalex-snapshot
Easier ways to win logical games
inferred← citeshttps://doi.org/10.1093/logcom/exad055openalex-snapshot
The umbilical cord of finite model theory
inferred← citeshttps://doi.org/10.1093/logcom/exaf045openalex-snapshot
The flattening operator in team-based logics
inferred← citeshttps://doi.org/10.1093/logcom/exq009openalex-snapshot
Higher Types, Finite Domains and Resource-bounded Turing Machines
inferred← citeshttps://doi.org/10.1093/oso/9780198790396.001.0001openalex-snapshot
Philosophy and Model Theory
inferred← citeshttps://doi.org/10.1093/oso/9780198790396.002.0003openalex-snapshot
Preface
inferred← citeshttps://doi.org/10.1093/oso/9780198790396.003.0001openalex-snapshot
Logics and languages
inferred← citeshttps://doi.org/10.1093/oso/9780198790396.003.0002openalex-snapshot
Permutations and referential indeterminacy
inferred← citeshttps://doi.org/10.1093/oso/9780198790396.003.0003openalex-snapshot
Ramsey sentences and Newman’s objection
inferred← citeshttps://doi.org/10.1093/oso/9780198790396.003.0004openalex-snapshot
Compactness, infinitesimals, and the reals
inferred← citeshttps://doi.org/10.1093/oso/9780198790396.003.0005openalex-snapshot
Sameness of structure and theory
inferred← citeshttps://doi.org/10.1093/oso/9780198790396.003.0006openalex-snapshot
Modelism and mathematical doxology
inferred← citeshttps://doi.org/10.1093/oso/9780198790396.003.0007openalex-snapshot
Categoricity and the natural numbers
inferred← citeshttps://doi.org/10.1093/oso/9780198790396.003.0008openalex-snapshot
Categoricity and the sets
inferred← citeshttps://doi.org/10.1093/oso/9780198790396.003.0009openalex-snapshot
Transcendental arguments against model-theoretical scepticism
inferred← citeshttps://doi.org/10.1093/oso/9780198790396.003.0010openalex-snapshot
Internal categoricity and the natural numbers
inferred← citeshttps://doi.org/10.1093/oso/9780198790396.003.0011openalex-snapshot
Internal categoricity and the sets
inferred← citeshttps://doi.org/10.1093/oso/9780198790396.003.0012openalex-snapshot
Internal categoricity and truth
inferred← citeshttps://doi.org/10.1093/oso/9780198790396.003.0013openalex-snapshot
Boolean-valued structures
inferred← citeshttps://doi.org/10.1093/oso/9780198790396.003.0014openalex-snapshot
Types and Stone spaces
inferred← citeshttps://doi.org/10.1093/oso/9780198790396.003.0015openalex-snapshot
Indiscernibility
inferred← citeshttps://doi.org/10.1093/oso/9780198790396.003.0016openalex-snapshot
Quantifiers
inferred← citeshttps://doi.org/10.1093/oso/9780198790396.003.0017openalex-snapshot
Classification and uncountable categoricity
inferred← citeshttps://doi.org/10.1093/oso/9780198790396.003.0018openalex-snapshot
Wilfrid Hodges A short history of model theory
inferred← citeshttps://doi.org/10.1109/69.634755openalex-snapshot
Transactions and updates in deductive databases
inferred← citeshttps://doi.org/10.1109/lics.1989.39191openalex-snapshot
Characterizing complexity classes by higher type primitive recursive definitions
inferred← citeshttps://doi.org/10.1109/lics.1990.113742openalex-snapshot
0-1 laws for infinitary logics
inferred← citeshttps://doi.org/10.1109/lics.1990.113743openalex-snapshot
Implicit definability on finite structures and unambiguous computations
inferred← citeshttps://doi.org/10.1109/lics.1992.185518openalex-snapshot
Fixpoint logic vs. infinitary logic in finite-model theory
inferred← citeshttps://doi.org/10.1109/lics.1992.185520openalex-snapshot
Axiomatizable classes of finite models and definability of linear order
inferred← citeshttps://doi.org/10.1109/lics.1992.185547openalex-snapshot
Generalized quantifiers and pebble games on finite structures
inferred← citeshttps://doi.org/10.1109/lics.1994.316067openalex-snapshot
The power of reflective relational machines
inferred← citeshttps://doi.org/10.1109/lics.1994.316088openalex-snapshot
How to define a linear order on finite models
inferred← citeshttps://doi.org/10.1109/lics.1994.316089openalex-snapshot
Generalized quantifiers for simple properties
inferred← citeshttps://doi.org/10.1109/lics.1996.561361openalex-snapshot
More about recursive structures: descriptive complexity and zero-one laws
inferred← citeshttps://doi.org/10.1109/lics.1998.705639openalex-snapshot
Fixed-point logics on planar graphs
inferred← citeshttps://doi.org/10.1109/lics.2001.932489openalex-snapshot
Logician in the land of OS: abstract state machines in Microsoft
inferred← citeshttps://doi.org/10.1109/lics.2007.39openalex-snapshot
Reflections on Finite Model Theory
inferred← citeshttps://doi.org/10.1109/lics52264.2021.9470742openalex-snapshot
Forbidden Induced Subgraphs and the Łoś–Tarski Theorem
inferred← citeshttps://doi.org/10.1109/sct.1992.215391openalex-snapshot
Fixpoint logics, relational machines, and computational complexity
inferred← citeshttps://doi.org/10.1109/sfcs.1985.27openalex-snapshot
Fixed-point extensions of first-order logic
inferred← citeshttps://doi.org/10.1109/sfcs.1989.63469openalex-snapshot
Datalog vs. first-order logic
inferred← citeshttps://doi.org/10.1109/time.2005.35openalex-snapshot
Temporal Query Languages Expressive Power: µTL versus T-WHILE
inferred← citeshttps://doi.org/10.1109/time.2007.60openalex-snapshot
SQTL: A Preliminary Proposal for a Temporal-to-Temporal Query Language
inferred← citeshttps://doi.org/10.1137/0213042openalex-snapshot
Equivalence Relations, Invariants, and Normal Forms
inferred← citeshttps://doi.org/10.1137/0219026openalex-snapshot
Expressibility and Nonuniform Complexity Classes
inferred← citeshttps://doi.org/10.1137/060658709openalex-snapshot
Preservation under Extensions on Well-Behaved Finite Structures
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