The Isabelle/Naproche Natural Language Proof Assistant

Lon, Adrian De; Koepke, Peter; Lorenzen, Anton; Marti, Adrian; Schütz, Marcel; Wenzel, Makarius

doi:10.1007/978-3-030-79876-5_36

Cited by 3 publications

(2 citation statements)

References 11 publications

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“…The requirements capture and requirements analysis in the ISAC project 5 are already published in [16,18,17]. Here the requirements 6 . are kept as short as possible, are restricted to the specify-phase and serve to introduce the system features from the users point of view; the descriptions of respective implementation details in §3 justify the requirements more or less explicitly by backward references.…”

Section: User Requirementsmentioning

confidence: 99%

“…This section is going to demonstrate simplicity of implementing a specific input language as introduced in §3 above in one of the advanced proof assistants, in this case Isabelle. Isar [22] is the proof language of Isabelle and remarkably, this is defined in a generic manner such that almost arbitrary formal languages can be defined; for a particularly interesting example see [6].…”

Section: Implementation In Isabelle/isarmentioning

confidence: 99%

See 1 more Smart Citation

Interactive Formal Specification for Mathematical Problems of Engineers

Neuper

2024

Electron. Proc. Theor. Comput. Sci.

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The paper presents the second part of a precise description of the prototype that has been developed in the course of the ISAC project over the last two decades. This part describes the "specify-phase", while the first part describing the "solve-phase" is already published.In the specify-phase a student interactively constructs a formal specification. The ISAC prototype implements formal specifications as established in theoretical computer science, however, the input language for the construction avoids requiring users to have knowledge of logic; this makes the system useful for various engineering faculties (and also for high school).The paper discusses not only ISAC's design of the specify-phase in detail, but also gives a brief introduction to implementation with the aim of advertising the re-use of formal frameworks (inclusive respective front-ends) with their generic tools for language definition and their rich pool of software components for formal mathematics. 01 type Pre_Conds.T = (bool * term) list; 02 type Pre_Conds.unchecked_pos = (term * Position.T) list 03 type Pre_Conds.checked_pos = bool * ((bool * (term * Position.T)) list)

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Section: User Requirementsmentioning

confidence: 99%

Section: Implementation In Isabelle/isarmentioning

confidence: 99%

Interactive Formal Specification for Mathematical Problems of Engineers

Neuper

2024

Electron. Proc. Theor. Comput. Sci.

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Koepke

Lorenzen

Shminke

2022

Lecture Notes in Computer Science

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The Naproche-ZF Theorem Prover (Short Paper)

De Lon

2024

Lecture Notes in Computer Science

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Naproche-ZF is a new experimental open-source natural theorem prover based on set theory; formalizations in Naproche-ZF are written in a controlled natural language embedded into "Image missing" and proof gaps are filled in with automated theorem provers. Naproche-ZF aims to scale natural theorem proving beyond chapter-sized formalizations. In contrast to the $$\mathbb {N}$$ N aproche system, the new system uses an extensible grammar-based approach, has more efficient proof automation, and enables larger interconnected formalizations based on a standard library.

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The Isabelle/Naproche Natural Language Proof Assistant

Cited by 3 publications

References 11 publications

Interactive Formal Specification for Mathematical Problems of Engineers

Interactive Formal Specification for Mathematical Problems of Engineers

CICM’22 System Entries

The Naproche-ZF Theorem Prover (Short Paper)

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