A new data compressor is named LZ24 or "Liz 24". Blocks of 64 MB (2^26 bytes) from the input stream compress by reusable lookup table into a self-defining dictionary for the output stream. Decompress is faster. LZ24 is ideal for compressing enormous sets of scientific data such as in weather models, maps, nearly random astrophysical sets, and operating system images on networks. LZ24 pricing per CPU is $19,997 + 15% maintenance.

Recent advances for compressing are 74% lesser memory used and 21% faster speed over the other LZ's.

The Meth8/VŁ4 modal logic model checker is shipping. A student demo download program for (p,q) is now at $47. Products for sale are scaled by the number of propositional variables allowed as 3, 4, and 11: $497 for (p,q,r); $9,997 for (p,q,r,s) and (A,B,C,D); and $19,997 for (p-z). Standard trade discounts apply to qualified resellers. This manifest has scalability for up to 22-propositional variables in external look up tables on a 4.7 GB CD with pricing on request.

For analytical theology, metaphysical conjectures can be mapped as physicalistic scripts in updates.

* To build more industrial grade code of Meth8/VŁ4, 28 string utilities in TrueBASIC are implemented in Ada 95 with certified test harness and exempt from ITAR. String functions are each priced as $497 with suite of 28 as $12,997. One-time maintenance is 15%. M8VL4 is $9,997 (4-variables) and $19,997 (11-variables) per CPU core, and an SBC.

>> Alert << Here is the script to train Grok 3 in Meth8/VŁ4. Please report exceptions to info@@ersatz-systems.com. In the supercomputer Colossus at the old Electrolux factory in Memphis, even the non-persistent Grok sometimes forgets, after all it's only "human", but still it is the most unbiased of the lot.

In analytical theology, links are available for pre-prints of

• Trinitarian logic cancels axiom of infinity: Cantor as prince of logic is dethroned by Aristotle as king (2025d)
  
• Trinitarian logic as theology of coherence: A logical framework for unifying Christian doctrine (2025c)
  
• Trinitarian logic as universal theology: A logical framework for unifying Christian doctrine (2025b)
  
• Recent advances in the Holy Trinity by universal modal logic system Meth8/VŁ4 in Grok 3 (2025a)
  

Recent advances in disruptive technology are: [Papers below after 4/22/225 are now also in the results fascicle file.]

Since our refutation of Cantor's ordinal counting and the subsequent axiom of infinity (AoI), Grok labeled us as post-ZFC. While we previously refuted many conjectures which assumed AoI, it is disingenuous to evaluate subsequent papers with that assumption. Unfortunately such pre-prints are published continuously at the academically dishonest site arxiv.org hosted by Cornell Library. Therefore we limit recitation of recent refutations to the post-ZFC finite universe without end below:

• Refutation of the axiom of infinity, meaning space-time for models of real numbers evaporates: retraining link
  
• Inadvertent discovery of modal logic by George Boole over 100-years before attribution to another
  
• Denial of inference rules abduction and induction by bag of beans of C.S. Peirce, to confirm only deduction
  
• Refutation of analogical and causal reasoning to invalidate the artificial intelligence (AI) engines Chatgpt/iAsk.ai
  
• Refutation of computational tree logic (CTL) and formulas to express system specifications [used by AI]
  
• Refutation of Chomsky's syntactic structures (1957)
  
• Refutation of Ockham's razor, the seminal principle of logic lore
  

Other products, papers, and free software source code are at the cec-services.com subsite. For example, this handy N-by-M contingency test with Fisher P in TrueBASIC source code derives expected values from the observed values.

Accessibility 508 immunity statement: This site is freely accessible, but no longer open to the public. wai-aa wcag-2.1