In 1971, C.A.R. Hoare gave the proof of correctness and termination of a rather complex algorithm, in a paper entitled Proof of a program: Find. It is a handmade proof, where the program is given together with its formal specification and where each step is fully justified by mathematical reasoning.
Formal proof of prefix adders
β Scribed by Feng Liu; Qingping Tan; Gang Chen
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 308 KB
- Volume
- 52
- Category
- Article
- ISSN
- 0895-7177
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Formal proofs, even simple ones, may hide an unexpected intricate combinatorics. We define a new combinatorial invariant, the bridge group of a proof, which encodes the cyclic structure of proofs in the sequent calculus. We compute the bridge groups of two infinite families of proofs and identify th
## Abstract Let βΈ be the set of GΓΆdel numbers Gn(__f__) of function symbols __f__ such that PRA β’ and let Ξ³ be the function such that We prove: (1) The r. e. set βΈ is mβcomplete; (2) the function Ξ³ is not primitive recursive in any class of functions {__f__~1~, __f__~2~, β} so long as each __f~i~