Publication

Interoperability of Proof Systems with SC-TPTP

2025

Abstract

We introduce SC-TPTP, an extension of the TPTP derivation format that encompasses sequent formalism, enabling seamless proof exchange between interactive theorem provers and first-order automated theorem provers. We provide a way to represent non-deductive steps-Skolemization, clausification, and Tseitin normal form-as deductive steps within the format. Building upon the existing support in the Lisa proof assistant and the Goéland theorem prover, SC-TPTP ecosystem is further enhanced with proof output interfaces for Egg and Prover9, as well as proof reconstruction support for HOL Light, Lean, and Rocq.

Official source

https://infoscience.epfl.ch/entities/publication/4c3d2db3-3f96-4d83-9794-af6c04673ea8

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2025

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/4c3d2db3-3f96-4d83-9794-af6c04673ea8

About this result

Related concepts (23)

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 of which are stored in, and some steps provided by, a computer. A recent effort within this field is making these tools use artificial intelligence to automate the formalization of ordinary mathematics.

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. While the roots of formalised logic go back to Aristotle, the end of the 19th and early 20th centuries saw the development of modern logic and formalised mathematics.

Proof calculus

In mathematical logic, a proof calculus or a proof system is built to prove statements. A proof system includes the components: Language: The set L of formulas admitted by the system, for example, propositional logic or first-order logic. Rules of inference: List of rules that can be employed to prove theorems from axioms and theorems. Axioms: Formulas in L assumed to be valid. All theorems are derived from axioms. Usually a given proof calculus encompasses more than a single particular formal system, since many proof calculi are under-determined and can be used for radically different logics.

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