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The Computational Complexity of Logical Theories

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On Collatz Theorem Ii
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First‐Order Formulas in Conjunctive Quantificational Form
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The quantifier complexity of polynomial‐size iterated definitions in first‐order logic
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The theory of hereditarily bounded sets
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Computing over the Reals with Addition and Order: Higher Complexity Classes
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Knowledgebase Transformations
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Linear Problems in Valued Fields
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An Algorithm for Deciding BAPA: Boolean Algebra with Presburger Arithmetic
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The Complexity of Semilinear Problems in Succinct Representation
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An Algebraic Framework for Schema Matching
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Verifying Mixed Real-Integer Quantifier Elimination
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Logical description of computation processes
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Rudimentary relations and Turing machines with linear alternation
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Efficient decision algorithms for locally finite theories
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Decidable Theories of Cayley-Graphs
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Durations, Parametric Model-Checking in Timed Automata with Presburger Arithmetic
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Ineffizienz und Unhandhabbarkeit
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Upper Bounds for a Theory of Queues
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Constraint Solving on Terms
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On the Use of Weak Automata for Deciding Linear Arithmetic with Integer and Real Variables
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A closed form for datalog queries with integer order
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Diophantine equations, Presburger arithmetic and finite automata
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An improved lower bound for the elementary theories of trees
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Calculi for Bags and their Complexity
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Decidability and Completeness
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Temporal Logic in Information Systems
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NP Satisfiability for Arrays as Powers
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Linear Integer Arithmetic Revisited
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Circuit Satisfiability and Constraint Satisfaction Around Skolem Arithmetic
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Decision Procedures for Recursive Data Structures with Integer Constraints
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Term Algebras with Length Function and Bounded Quantifier Alternation
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Automatic Structures of Bounded Degree
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Model Theory Makes Formulas Large
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Weak Integer Quantifier Elimination Beyond the Linear Case
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Upper Bounds on the Automata Size for Integer and Mixed Real and Integer Linear Arithmetic (Extended Abstract)
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A Generalization of Semenov’s Theorem to Automata over Real Numbers
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Model Checking FO(R) over One-Counter Processes and beyond
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Effective Quantifier Elimination for Presburger Arithmetic with Infinity
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Halting and Equivalence of Program Schemes in Models of Arbitrary Theories
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Inefficiency and Intractability
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Witness Runs for Counter Machines
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Parametric Systems of Linear Congruences
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Weak Formal Theories of Arithmetic
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On Presburger Arithmetic Extended with Modulo Counting Quantifiers
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On the lengths of proofs of consistency
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Note bibliografiche
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Laws in Logic and Combinatorics
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The unprovability of small inconsistency
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Complexity of presburger arithmetic with fixed quantifier dimension
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Fast theorem-proving and Wu’s Method
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On the bounded theories of finite trees
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Constraint databases: A survey
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Borne superieure de la complexite de la theorie de ℕ muni de la relation de divisibilite
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The complexity of semilinear problems in succinct representation
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Computational complexity of logical theories of one successor and another unary function
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Pairs, sets and sequences in first-order theories
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Weak quantifier elimination for the full linear theory of the integers
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Alternating complexity of counting first-order logic for the subword order
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Functional synthesis for linear arithmetic and sets
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Solving quantified linear arithmetic by counterexample-guided instantiation
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Model-Theoretic Methods in Combined Constraint Satisfiability
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Deciding Boolean Algebra with Presburger Arithmetic
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Decidable $${\exists }^*{\forall }^*$$ First-Order Fragments of Linear Rational Arithmetic with Uninterpreted Predicates
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The Second Incompleteness Theorem and Bounded Interpretations
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The complexity of the word problems for commutative semigroups and polynomial ideals
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On the definability of properties of finite graphs
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Real addition and the polynomial hierarchy
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Stationary logic of ordinals
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Nonconvergence, undecidability, and intractability in asymptotic problems
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Dominoes and the complexity of subclasses of logical theories
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A uniform method for proving lower bounds on the computational complexity of logical theories
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A decision algorithm for linear sentences on a PFM
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On time-space classes and their relation to the theory of real addition
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Turing machines with linear alternation, theories of bounded concatenation and the decision problem of first order theories
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On the complexity of theories of permutations
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Subclasses of presburger arithmetic and the polynomial-time hierarchy
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New formally undecidable propositions: non-trivial lower bounds on proof complexity and related theorems
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Complexity of logical theories involving coprimality
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A closed-form evaluation for Datalog queries with integer (gap)-order constraints
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A logic for reasoning about probabilities
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Classifying Problems into Complexity Classes
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Solving Numerical Constraints
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Algorithmic uses of the Feferman–Vaught Theorem
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Logical aspects of Cayley-graphs: the group case
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The most nonelementary theory
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Ehrenfeucht–Fraïssé goes automatic for real addition
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Locality and modular Ehrenfeucht–Fraïssé games
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On algebraic array theories
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Succinct ordering and aggregation constraints in algebraic array theories
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A complete and terminating approach to linear integer solving
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On the complexity of decision using destinies in H-bounded structures
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Multitree automata that count
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Quantifier elimination for the reals with a predicate for the powers of two
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Circuit satisfiability and constraint satisfaction around Skolem Arithmetic
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The impact of model theory on theoretical computer science
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Queries with arithmetical constraints
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Time in Qualitative Simulation
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PRESBURGER ARITHMETIC, RATIONAL GENERATING FUNCTIONS, AND QUASI-POLYNOMIALS
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VON NEUMANN’S CONSISTENCY PROOF
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Complexity of Subcases of Presburger Arithmetic
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Strong reducibilities
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Equivalence Checking of Datapaths Based on Canonical Arithmetic Expressions
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Structural subtyping of non-recursive types is decidable
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On the automata size for Presburger arithmetic
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Decidability, complexity, and expressiveness of first-order logic over the subword ordering
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Expression equivalence checking using interval analysis
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Finitely axiomatized theories lack self‐comprehension
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On Some Deterministic Space Complexity Problems
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Cylindrical Algebraic Decomposition I: The Basic Algorithm
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Cylindrical Algebraic Decomposition II: An Adjacency Algorithm for the Plane
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LOGICAL ASPECTS OF CAYLEY-GRAPHS: THE MONOID CASE
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An effective decision procedure for linear arithmetic over the integers and reals
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Relational analysis of algebraic datatypes
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Equivalence checking of arithmetic expressions using fast evaluation
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Relational analysis of algebraic datatypes
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An overview of computational complexity
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Bounds on the automata size for Presburger arithmetic
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Complete functional synthesis
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Complete functional synthesis
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Software synthesis procedures
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Decidability of the purely existential fragment of the theory of term algebras
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First-Order Logic on Higher-Order Nested Pushdown Trees
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Complexity and uniformity of elimination in Presburger arithmetic
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KAT + B!
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Complexity of nonrecursive logic programs with complex values
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Coming to terms with quantified reasoning
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Coming to terms with quantified reasoning
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P-adic constraint solving
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Expressive power and data complexity of nonrecursive query languages for lists and trees (extended abstract)
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An overview of computational complexity
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A decision procedure for term algebras with queues
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Convex and Reverse Convex Prequadratics Constraints for Decidable Logics of Relations with Cardinalities
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Numerical document queries
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On time-space classes and their relation to the theory of real addition
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On some deterministic space complexity problems
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Positive First-Order Logic Is NP-Complete
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Short Proofs for Slow Consistency
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Vaught's Theorem on Axiomatizability by a Scheme
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Complexity, decidability and completeness
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Double-exponential inseparability of Robinson subsystem Q+
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Sharpened lower bounds for cut elimination
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Pragmatics and Mathematics or how do mathematicians talk ?
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Classifying the computational complexity of problems
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On decidable varieties of Heyting algebras
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The theory of integer multiplication with order restricted to primes is decidable
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A small reflection principle for bounded arithmetic
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Probabilistic Strategy Logic
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On the structure of intractable sets
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Nuovi paradigmi e i disturbi del neurosviluppo: le linee di cambiamento che emergono dal dibattito
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Ehrenfeucht-Fraïssé goes elementarily automatic for structures of bounded degree
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On Presburger arithmetic extended with non-unary counting quantifiers
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First-Order Logic on Higher-Order Nested Pushdown Trees
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The Complexity of Monotone Hybrid Logics over Linear Frames and the Natural Numbers
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Constraint Satisfaction Problems around Skolem Arithmetic
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An Instantiation-Based Approach for Solving Quantified Linear Arithmetic
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An Effective Decision Procedure for Linear Arithmetic with Integer and Real Variables
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