Imperative Proving
https://alastairreid.github.io/usesforisaspecs/ what can you do with an isa spec  alastair reid
Imp stmt to stack machine Imp expr to stack machine
Expr as state? Expr + Context as state. Ok sure. List stack as state Try just binary operator Try booleans rather than nats
There is a single reflection step to a machine
forall s1 : S1, s2 : S2, (p : s1 ~ s2), (R1 s1 s1’) (R2 s2 s2’) : s1’ ~ s2’
Maybe verifying a pipelined processor (how hard could it be amirite?!?!) would be a fun concurrency example to attempt int ivy or tla+ or whatever
https://dl.acm.org/doi/pdf/10.1145/3314221.3314601 instruction semantics for x86 in K https://cs.stanford.edu/people/eschkufz/docs/pldi_16.pdf Synthesiszing automatically learning semantics of x86
The Hamming Book. Gilbert Strang book. Numerical analysis Geometrical algorithms Stuff in CLRS?
limbs circuit. 3d printed snapping.
Use z3wasm.
Specit  word based specification challenges. Prove equivalence using Z3?
let’s as assignemnt injecting block addigment variables after phi nodes gated ssa vs
smtlib preporcoesor  wp mode.
boogie why
https://github.com/UniMath/SymmetryBook https://github.com/xavierleroy/cdfmechsem
Different styles of proving on CFGs.
The CFG is already giving you a lot, to pretend you know what jumps are possible. This does let you
Nand2Tetris style, we could model the gates of the hardware. And then unfold in time using BMC
 Do we maintain the instruction pointer as a concept?

For every block, with every entrance and exit, one could manually state a summary entrance and summary exit predciates. For every edge linking an exit to and entrance one requires that P  Q. And in addition that the entrance predicates imply the exit predicates of the block itself  DAGs present no problems as CFGs. You can finitely produce a trasntiion relation for them, or run WP on them. So one perspective if that you need to cut enough edges to make the cfg a dag. And every time you cut an edge, you need a predicate associated with that edge or perhaps one with the entrance and one with the exit of that edge.
 Lamport had some mention of ther Floyd method as being more general than the hoare method. Floyd seemed to be considering cfgs. TLA+ does explicitly model the program counter.
 Symbolic execution branches at the logical level instead of at the logical level. This does not lend itself obviously to something that works in the presence of loops.
We could do the MicroWP to demonstrate these styles. But it is a pain. Infer a CFG for Nand2Tetris? Perhaps hards because it can be difficult to know what locations you may jump to. We could instead work in a CFG intermediate representation that compiles.
class Block: code: list[instr] # no jumps jump: A1, A2, JMP
Fuzzing is so fuckin useful. To not beusing dynamic techniques https://github.com/mykter/afltraining afl fuzzing training
https://www.youtube.com/watch?v=sjLFf9q2NRc&ab_channel=FuzzingLabsPatrickVentuzelo afl++ qemy libfuzzer vs afl vs honggfuzz corpus grammar based fuzzing, differential fuzzing
What changes do yoiu need to make to use arbitrary control flow graphs vs structured programs
https://www.lulu.com/en/us/shop/krustanmleinoandkalebleino/programproofs/paperback/productwqy8w5.html?page=1&pageSize=4 Rustan leino book https://github.com/backtracking/programproofswithwhy3
Djikstra monads  this might be a stretch F* Djikstra moand + interaciton trees https://www.seas.upenn.edu/~lucsil/papers/dmf.pdf Interaction trees ~ free monad rearranged for total language related to freer monads  kiselyov thing. This is what lexi king was working on yea? http://hackage.haskell.org/package/freer http://okmij.org/ftp/Haskell/extensible/more.pdf
General Monad mcbride https://www.cis.upenn.edu/~bcpierce/papers/deepweboverview.pdf from C to interaction trees liyao xia
Disjkstra and Scholten That link off of Leino
Could I make an equation style system in Z3py? Probably, right? Take Agda as an example Backhouse Hehner https://news.ycombinator.com/item?id=11797522
I’ve been feeling like i should be doing manual hoare logic/ imperative proofs
There is a vast assortment of tools out there that aren’t proof assistants.
Boogie, dafny, framac, viper, verifast, whyml, why3, liquidhaskell, spark/ada, spec# JML, ESC/java https://www.openjml.org/ whiley esc/modula3
dafny vs code plugin https://rise4fun.com/Dafny/tutorial https://web.cecs.pdx.edu/~apt/cs510spec/ https://dafnylang.github.io/dafny/DafnyReferenceManual/DafnyRef http://leino.science/dafnypoweruser/ http://web.cecs.pdx.edu/~apt/cs510spec/
viper vs code plugin http://viper.ethz.ch/tutorial/
framac https://alhassy.github.io/InteractiveWayToC.html https://github.com/fraunhoferfokus/acslbyexample
verifast tutorial https://people.cs.kuleuven.be/~bart.jacobs/verifast/tutorial.pdf
https://github.com/hwayne/letsproveleftpad vcc ZetZZ https://github.com/zetzit/zz https://news.ycombinator.com/item?id=22245409 https://news.ycombinator.com/item?id=23997128 dafny discussion Verilog + symbiyosys, KeY, KeymaeraX CBMC, ESBMC http://www.esbmc.org/ , EBMC cpachecker https://cpachecker.sosylab.org/ TLA might be in this category EventB alloy
https://github.com/johnyf/tool_lists/blob/master/verification_synthesis.md god this list is nuts https://www.pm.inf.ethz.ch/research/verifythis.html verify this https://svcomp.sosylab.org/2020/ svcomp
https://github.com/tofgarion/sparkbyexample
Eiffel for pre post conditions
https://github.com/microsoft/Armada chalice ATS
F*, Iris, VST, Bedrock Isabelle?
It’s interesting that logical psecs are so foreign, and somewhat longwinded when applied to imperative code, that they aren’t that much more understandable or high assurance. Really it might be about formally proving equaivlance between just specs in different languages. Python and C for example.
A good question is: what are interesting programs to prove?
 List manipulation
 sorts
 red black trees
 find
Fun old timey books.
If you go before 1980, a decent chunk of all books had assembly in mind.
 discpline of programming  djikstra https://seriouscomputerist.atariverse.com/media/pdf/book/Discipline%20of%20Programming.pdf
 Reynolds  The craft of programming
 Knuth  The Art of Computer Programming
 The science of programming  D Gries
 Pascal, wirth
 structured programming https://seriouscomputerist.atariverse.com/media/pdf/book/Structured%20Programming.pdf djikstra hoare
 Eric Hehner
 https://dl.acm.org/collections/classics ACM classic books
 lambda papers
 per brinch hansen
 https://en.wikipedia.org/wiki/List_of_important_publications_in_theoretical_computer_science#Formal_verification
 https://en.wikipedia.org/wiki/List_of_important_publications_in_computer_science
 http://www.mathmeth.com/read.shtml some welevant EQD notes. Derivation of alogrithms
 winskel