منابع مشابه
Informal Proof, Formal Proof, Formalism
Increases in the use of automated theorem-provers have renewed focus on the relationship between the informal proofs normally found in mathematical research and fully formalised derivations. Whereas some claim that any correct proof will be underwritten by a fully formal proof, sceptics demur. In this paper I look at the relevance of these issues for formalism, construed as an anti-platonistic ...
متن کاملFormal Proof
D aily, we confront the errors of computers. They crash, hang, succumb to viruses, run buggy software, and harbor spyware. Our tabloids report bizarre computer glitches: the library patron who is fined US$40 trillion for an overdue book, because a barcode is scanned as the size of the fine; or the dentist in San Diego who was delivered over 16,000 tax forms to his doorstep when he abbreviated “...
متن کاملFormal Proof Sketches
We define the notion of formal proof sketch for the mathematical language Mizar. We show by examples that formal proof sketches are very close to informal mathematical proofs. We discuss some ways in which formal proof sketches might be used to improve mathematical proof assistants.
متن کاملTowards Formal Proof Metrics
Recent years have seen increasing success in building large formal proof developments using interactive theorem provers (ITPs). Some proofs have involved many authors, years of effort, and resulted in large, complex interdependent sets of proof “source code” files. Developing these in the first place, and maintaining and extending them afterwards, is a considerable challenge. It has prompted th...
متن کاملFormal Proof—Getting Started
A List of 100 Theorems Today highly nontrivial mathematics is routinely being encoded in the computer, ensuring a reliability that is orders of a magnitude larger than if one had just used human minds. Such an encoding is called a formalization, and a program that checks such a formalization for correctness is called a proof assistant. Suppose you have proved a theorem and you want to make cert...
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ژورنال
عنوان ژورنال: The Review of Symbolic Logic
سال: 2015
ISSN: 1755-0203,1755-0211
DOI: 10.1017/s1755020315000234