# Proof Search in Minimal Logic

@inproceedings{Schwichtenberg2004ProofSI, title={Proof Search in Minimal Logic}, author={Helmut Schwichtenberg}, booktitle={AISC}, year={2004} }

We describe a rather natural proof search algorithm for a certain fragment of higher order (simply typed) minimal logic. This fragment is determined by requiring that every higher order variable Y can only occur in a context \(Y \vec{x}\), where \(\vec{x}\) are distinct bound variables in the scope of the operator binding Y, and of opposite polarity. Note that for first order logic this restriction does not mean anything, since there are no higher order variables. However, when designing a…

## 3 Citations

### Minlog - A Tool for Program Extraction Supporting Algebras and Coalgebras

- Computer Science, MathematicsCALCO
- 2011

An overview of Minlog is given and it is demonstrated how it can be used to exploit the computational content in (co)algebraic proofs and to develop correct and efficient programs.

### A TUTORIAL FOR MINLOG, VERSION 5.0

- Computer Science
- 2014

This is a tutorial for the interactive proof system Minlog, Version 5.0, developed by Helmut Schwichtenberg and members of the logic group at the University of Munich. Minlog is implemented in…

### Operating system verification—An overview

- Computer Science
- 2009

This paper gives a high-level introduction to the topic of formal, interactive, machine-checked software verification in general, and the verification of operating systems code in particular. We…

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