 
Summary: Vorlesungsskript Rechnergest¨utztes Beweisen
Martin Hofmann
WS 2005/06
1 Introduction
Computeraided theorem proving means to carry out mathematical proofs on a
computer whose job it is to check steps, to perform bookkeeping tasks and to
automate routine steps. Conducting a proof on a computer may be compared to
and has a lot in common with implementing an informally given algorithm or
model. For example, a number of details must be filled in and, more importantly,
mistakes and shortcomings of the highlevel model are brought to the surface.
Computeraided theorem proving has numerous applications in program and
hardware verification as well as prototype development. To a lesser, perhaps in
creasing, degree it is used to aid the development of genuine mathematical proofs.
1.1 Course outline
In this course, we will get to know the computerbased theorem prover PVS
(pvs.csl.sri.com) along with its theoretical foundations and some ramifi
cations thereof.
· Logical foundations: sequent calculus, predicate calculus, higherorder logic,
set theory
· Automation of logical reasoning: resolution
