Search Results - Computing methodologies → Theorem proving algorithms

Arjun: An Efficient Independent Support Computation Technique and its Applications to Counting and Sampling by Soos, Mate, Meel, Kuldeep S.

“…Given a Boolean formula φ over the set of variables X and a projection set \mathcal{P} \subseteq X, then if \mathcal{I} \subseteq \mathcal{P} is independent…”
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A Theorem Proving Approach to Programming Language Semantics by Roy, Subhajit

“… We argue that modern theorem provers are excellent aids to teaching and understanding programming language semantics…”
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QEDCartographer: Automating Formal Verification Using Reward-Free Reinforcement Learning by Sanchez-Stern, Alex, Varghese, Abhishek, Kaufman, Zhanna, Zhang, Dylan, Ringer, Talia, Brun, Yuriy

“… Recent methods have automated some proof synthesis by guiding a search through the proof space using a theorem prover…”
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Living without Beth and Craig: Definitions and Interpolants in the Guarded and Two-Variable Fragments by Jung, Jean Christoph, Wolter, Frank

“…In logics with the Craig interpolation property (CIP) the existence of an interpolant for an implication follows from the validity of the implication. In…”
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A Logic for Locally Complete Abstract Interpretations by Bruni, Roberto, Giacobazzi, Roberto, Gori, Roberta, Ranzato, Francesco

“…We introduce the notion of local completeness in abstract interpretation and define a logic for proving both the correctness and incorrectness of some program specification…”
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AI-Assisted Autoformalization of Combinatorics Problems in Proof Assistants by Doan, Long, Nguyen, ThanhVu

“…Proof assistants such as Coq and LEAN have been increasingly used by renowned mathematicians to formalize and prove mathematical theorems…”
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Leveraging Critical Proof Obligations for Efficient IC3 Verification by Zhu, Lingfeng, Zhang, Xindi, Li, Yongjian, Cai, Shaowei

“…IC3 and its variants are SAT-based model-checking methods that play a critical role in hardware verification. Efficient management of proof obligations, which…”
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Combinatorial Proofs and Decomposition Theorems for First-order Logic by Hughes, Dominic J. D., Strasburger, Lutz, Wu, Jui-Hsuan

“… We show that the two proof representations are related via a deep inference decomposition theorem that establishes a new kind of normal form for syntactic proofs. This yields…”
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Lacon- and Shrub-Decompositions: A New Characterization of First-Order Transductions of Bounded Expansion Classes by Dreier, Jan

“…The concept of bounded expansion provides a robust way to capture sparse graph classes with interesting algorithmic properties. Most notably, every problem…”
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Separating Rank Logic from Polynomial Time by Lichter, Moritz

“…In the search for a logic capturing polynomial time the most promising candidates are Choiceless Polynomial Time (CPT) and rank logic. Rank logic extends…”
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A Quantum Interpretation of Bunched Logic & Quantum Separation Logic by Zhou, Li, Barthe, Gilles, Hsu, Justin, Ying, Mingsheng, Yu, Nengkun

“… We exercise the logic for proving the security of quantum one-time pad and secret sharing, and we show how the program logic can be used to discover a flaw in Google Cirq's tutorial…”
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Some constructive variants of S4 with the finite model property by Balbiani, Philippe, Dieguez, Martin, Fernandez-Duque, David

“…The logics CS4 and IS4 are intuitionistic variants of the modal logic S4. Whether the finite model property holds for each of these logics has been a…”
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CoqPilot, a plugin for LLM-based generation of proofs by Kozyrev, Andrei, Solovev, Gleb, Khramov, Nikita, Podkopaev, Anton

“…We present CoqPilot, a VS Code extension designed to help automate writing of Coq proofs. The plugin collects the parts of proofs marked with the admit tactic…”
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On the logical structure of choice and bar induction principles by Brede, Nuria, Herbelin, Hugo

“…We develop an approach to choice principles and their contrapositive bar-induction principles as extensionality schemes connecting an "intensional" or…”
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Minimal Taylor Algebras as a Common Framework for the Three Algebraic Approaches to the CSP by Barto, Libor, Brady, Zarathustra, Bulatov, Andrei, Kozik, Marcin, Zhuk, Dmitriy

“…This paper focuses on the algebraic theory underlying the study of the complexity and the algorithms for the Constraint Satisfaction Problem (CSP…”
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The Topological Mu-Calculus: completeness and decidability by Baltag, Alexandru, Bezhanishvili, Nick, Fernandez-Duque, David

“…We study the topological µ-calculus, based on both Cantor derivative and closure modalities, proving completeness, decidability and FMP over general topological spaces, as well as over T 0 and T D spaces…”
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First-Order Reasoning and Efficient Semi-Algebraic Proofs by Part, Fedor, Thapen, Neil, Tzameret, Iddo

“…Semi-algebraic proof systems such as sum-of-squares (SoS) have attracted a lot of attention recently due to their relation to approximation algorithms [3…”
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Gödel-McKinsey-Tarski and Blok-Esakia for Heyting-Lewis Implication by de Groot, Jim, Litak, Tadeusz, Pattinson, Dirk

“…Heyting-Lewis Logic is the extension of intuitionistic propositional logic with a strict implication connective that satisfies the constructive counterparts of…”
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A Complete Axiomatisation for Divergence Preserving Branching Congruence of Finite-State Behaviours by Liu, Xinxin, Yu, Tingting

“…We present an equational inference system for finite-state expressions, and prove that the system is sound and complete with respect to divergence preserving…”
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Decidability and Complexity in Weakening and Contraction Hypersequent Substructural Logics by Balasubramanian, A. R., Lang, Timo, Ramanayake, Revantha

“…We establish decidability for the infinitely many axiomatic extensions of the commutative Full Lambek logic with weakening FL ew (i.e. IMALLW) that have a…”
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