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The NP Search Problems of Frege and Extended Frege Proofs

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What this work says

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

inferredcites →https://doi.org/10.1002/malq.200610019openalex-snapshot
The strength of sharply bounded induction
inferredcites →https://doi.org/10.1006/jcss.1998.1575openalex-snapshot
The Relative Complexity of NP Search Problems
inferredcites →https://doi.org/10.1007/11780342_29openalex-snapshot
Forcing with Random Variables and Proof Complexity
inferredcites →https://doi.org/10.1007/978-3-642-58622-4_5openalex-snapshot
Propositional Proof Complexity an Introduction
inferredcites →https://doi.org/10.1007/bfb0075316openalex-snapshot
Counting problems in bounded arithmetic
inferredcites →https://doi.org/10.1007/s00153-005-0282-2openalex-snapshot
Quantified propositional calculus and a second-order theory for NC1
inferredcites →https://doi.org/10.1016/0022-0000(88)90046-3openalex-snapshot
How easy is local search?
inferredcites →https://doi.org/10.1016/j.apal.2003.12.003openalex-snapshot
Dual weak pigeonhole principle, Boolean complexity, and derandomization
inferredcites →https://doi.org/10.1016/j.apal.2010.12.002openalex-snapshot
The provably total NP search problems of weak second order bounded arithmetic
inferredcites →https://doi.org/10.1016/j.apal.2011.06.014openalex-snapshot
Alternating minima and maxima, Nash equilibria and Bounded Arithmetic
inferredcites →https://doi.org/10.1016/j.jcss.2017.12.003openalex-snapshot
Towards a unified complexity theory of total functions
inferredcites →https://doi.org/10.1016/s0022-0000(05)80063-7openalex-snapshot
On the complexity of the parity argument and other inefficient proofs of existence
inferredcites →https://doi.org/10.1016/s0049-237x(98)80016-5openalex-snapshot
An Introduction to Proof Theory
inferredcites →https://doi.org/10.1016/s0168-0072(99)00041-xopenalex-snapshot
A bounded arithmetic AID for Frege systems
inferredcites →https://doi.org/10.1017/cbo9780511529948openalex-snapshot
Bounded Arithmetic, Propositional Logic and Complexity Theory
inferredcites →https://doi.org/10.1017/cbo9780511676277openalex-snapshot
Logical Foundations of Proof Complexity
inferredcites →https://doi.org/10.1017/fms.2016.13openalex-snapshot
CONSISTENCY OF CIRCUIT EVALUATION, EXTENDED RESOLUTION AND TOTAL NP SEARCH PROBLEMS
inferredcites →https://doi.org/10.1109/fscs.1990.89602openalex-snapshot
On graph-theoretic lemmata and complexity classes
inferredcites →https://doi.org/10.1112/plms/pdq044openalex-snapshot
The provably total search problems of bounded arithmetic
inferredcites →https://doi.org/10.1112/plms/s3-69.1.1openalex-snapshot
An Application of Boolean Complexity to Separation Problems in Bounded Arithmetic
inferredcites →https://doi.org/10.1137/0221046openalex-snapshot
An Optimal Parallel Algorithm for Formula Evaluation
inferredcites →https://doi.org/10.1145/2559950openalex-snapshot
Improved witnessing and local improvement principles for second-order bounded arithmetic
inferredcites →https://doi.org/10.1145/28395.28409openalex-snapshot
The Boolean formula value problem is in ALOGTIME
inferredcites →https://doi.org/10.1145/800116.803756openalex-snapshot
Feasibly constructive proofs and the propositional calculus (Preliminary Version)
inferredcites →https://doi.org/10.2178/jsl/1082418532openalex-snapshot
Implicit proofs
inferredcites →https://doi.org/10.2178/jsl/1185803628openalex-snapshot
NP search problems in low fragments of bounded arithmetic
inferredcites →https://doi.org/10.2307/2273702openalex-snapshot
The relative efficiency of propositional proof systems

What points at this work

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

inferred← citeshttps://doi.org/10.1007/978-3-031-15298-6_24openalex-snapshot
Mining the Surface: Witnessing the Low Complexity Theorems of Arithmetic
inferred← citeshttps://doi.org/10.1007/978-3-319-57586-5_1openalex-snapshot
TFNP: An Update
inferred← citeshttps://doi.org/10.1016/j.jcss.2017.12.003openalex-snapshot
Towards a unified complexity theory of total functions
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/fms.2016.13openalex-snapshot
CONSISTENCY OF CIRCUIT EVALUATION, EXTENDED RESOLUTION AND TOTAL NP SEARCH PROBLEMS
inferred← citeshttps://doi.org/10.1017/s0960129524000185openalex-snapshot
Witnessing flows in arithmetic
inferred← citeshttps://doi.org/10.1109/focs61266.2024.00044openalex-snapshot
Jump Operators, Interactive Proofs and Proof Complexity Generators
inferred← citeshttps://doi.org/10.4230/lipics.csl.2020.12openalex-snapshot
Proof Complexity of Systems of (Non-Deterministic) Decision Trees and Branching Programs
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