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Proof assistant. In computer science and mathematical logic, a proof assistant or interactive theorem prover is a software tool to assist with the development of formal proofs by human–machine collaboration. This involves some sort of interactive proof editor, or other interface, with which a human can guide the search for proofs, the details ...
In mathematical logic and automated theorem proving, resolution is a rule of inference leading to a refutation-complete theorem-proving technique for sentences in propositional logic and first-order logic. For propositional logic, systematically applying the resolution rule acts as a decision procedure for formula unsatisfiability, solving the ...
Automated theorem proving. Automated theorem proving (also known as ATP or automated deduction) is a subfield of automated reasoning and mathematical logic dealing with proving mathematical theorems by computer programs. Automated reasoning over mathematical proof was a major impetus for the development of computer science .
Lean is a proof assistant and a functional programming language. [ 1] It is based on the calculus of constructions with inductive types. It is an open-source project hosted on GitHub. It was developed primarily by Leonardo de Moura while employed by Microsoft Research and now Amazon Web Services, and has had significant contributions from other ...
Algorithm DP SAT solver Input: A set of clauses Φ. Output: A Truth Value: true if Φ can be satisfied, false otherwise. function DP-SAT(Φ) repeat // unit propagation: while Φ contains a unit clause {l} do for every clause c in Φ that contains l do Φ ← remove-from-formula(c, Φ); for every clause c in Φ that contains ¬l do Φ ← remove-from-formula(c, Φ); Φ ← add-to-formula(c ...
Logic for Computable Functions ( LCF) is an interactive automated theorem prover developed at Stanford and Edinburgh by Robin Milner and collaborators in early 1970s, based on the theoretical foundation of logic of computable functions previously proposed by Dana Scott. Work on the LCF system introduced the general-purpose programming language ...
Suppes–Lemmon notation [1] is a natural deductive logic notation system developed by E.J. Lemmon. [2] Derived from Suppes ' method, [3] it represents natural deduction proofs as sequences of justified steps. Both methods use inference rules derived from Gentzen's 1934/1935 natural deduction system, [4] in which proofs were presented in tree ...
IA-32, x86-64, WebAssembly, arm64. Type. Theorem prover. License. MIT License. Website. github .com /Z3Prover. Z3, also known as the Z3 Theorem Prover, is a satisfiability modulo theories (SMT) solver developed by Microsoft. [ 2]